Series Solution of the 1 + 2 Continuous Toda Chain
نویسندگان
چکیده
منابع مشابه
2 9 D ec 1 99 5 Infinite series solutions of the symmetry equation for the 1 + 2 dimensional continuous Toda chain
A sequence of solutions to the equation of symmetry for the continuous Toda chain in 1 + 2 dimensions is represented in explicit form. This fact leads to the supposition that this equation is completely integrable.
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بسیاری از پدیده ها در جهان ما اساساً غیرخطی هستند، و توسط معادلات غیرخطی بیان شده اند. از آنجا که ظهور کامپیوترهای رقمی با عملکرد بالا، حل مسایل خطی را آسان تر می کند. با این حال، به طور کلی به دست آوردن جوابهای دقیق از مسایل غیرخطی دشوار است. روش عددی، به طور کلی محاسبه پیچیده مسایل غیرخطی را اداره می کند. با این حال، دادن نقاط به یک منحنی و به دست آوردن منحنی کامل که اغلب پرهزینه و ...
15 صفحه اولNondegeneracy of the Traveling Lump Solution to the 2 + 1 Toda Lattice
We consider the 2 + 1 Toda system 1 4 ∆qn = e qn−1−qn − eqn−qn+1 in R, n ∈ Z. It has a traveling wave type solution {Qn} satisfying Qn+1(x, y) = Qn(x + 1 2 √ 2 , y), and is explicitly given by Qn (x, y) = ln 1 4 + ( n− 1 + 2 √ 2x )2 + 4y2 1 4 + ( n+ 2 √ 2x )2 + 4y2 . In this paper we prove that {Qn} is nondegenerate.
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Investigated is the quantum relativistic periodic Toda chain, to each site of which the ultra-local Weyl algebra is associated. Weyl’s q we are considering here is restricted to be inside the unit circle. Quantum Lax operators of the model are intertwined by six-vertex R-matrix. Both independent Baxter’s Qoperators are constructed explicitly as seria over local Weyl generators. The operator-val...
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ژورنال
عنوان ژورنال: Journal of Nuclear and Particle Physics
سال: 2012
ISSN: 2167-6895
DOI: 10.5923/j.jnpp.20120203.03